Physics-
General
Easy

Question

A block of mass m is attached to two spring of spring constant k subscript 1 end subscript text  and  end text k subscript 2 end subscript as shown in figure. The block is displaced by x towards right and released. The velocity of the block when it is at fraction numerator x over denominator 2 end fraction will be :

  1. square root of fraction numerator open parentheses k subscript 1 end subscript plus k subscript 2 end subscript close parentheses x to the power of 2 end exponent over denominator 2 m end fraction end root    
  2. square root of fraction numerator 3 over denominator 4 end fraction fraction numerator open parentheses k subscript 1 end subscript plus k subscript 2 end subscript close parentheses x to the power of 2 end exponent over denominator m end fraction end root    
  3. square root of fraction numerator open parentheses k subscript 1 end subscript plus k subscript 2 end subscript close parentheses x to the power of 2 end exponent over denominator m end fraction end root    
  4. square root of fraction numerator open parentheses k subscript 1 end subscript plus k subscript 2 end subscript close parentheses x to the power of 2 end exponent over denominator 4 m end fraction end root    

The correct answer is: square root of fraction numerator 3 over denominator 4 end fraction fraction numerator open parentheses k subscript 1 end subscript plus k subscript 2 end subscript close parentheses x to the power of 2 end exponent over denominator m end fraction end root

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